What is the sum of natural numbers from (63) to (150)?
Answer and explanation
Correct answer: 9372
There are \(150-63+1=88\) terms from 63 to 150. Hence, using the sum of an arithmetic progression, \(\frac{88}{2}(63+150)=44\times213=9372\). Therefore, option A is correct. A nearby value such as 9369 can result from a small arithmetic error. Exam tip: add 1 while counting terms when both endpoints are included.
Frequently asked questions
What is the correct answer to this question?
9372
Why is this the correct answer?
There are \(150-63+1=88\) terms from 63 to 150. Hence, using the sum of an arithmetic progression, \(\frac{88}{2}(63+150)=44\times213=9372\). Therefore, option A is correct. A nearby value such as 9369 can result from a small arithmetic error. Exam tip: add 1 while counting terms when both endpoints are included.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: Sum of first n natural numbers.
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